Results 51 to 60 of about 6,725,901 (296)
Topological Interference Management with Reconfigurable Antennas
We study the symmetric degrees-of-freedom (DoF) of partially connected interference networks under linear coding strategies at transmitters without channel state information beyond topology.
Avestimehr, Amir Salman +3 more
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Oscillation of second order half-linear difference equations (I)
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Jiang, Jianchu, Tang, Xianhua
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This work aims to develop new iterative Kneser-type criteria for determining the oscillatory behaviour of half-linear second-order advanced dynamic equations on arbitrary unbounded-above time scales T. The results extend and refine previously established
Taher S. Hassan +5 more
doaj +1 more source
Nonoscillatory solutions of half‐linear Euler‐type equation with n terms
We consider the half‐linear Euler‐type equation with n terms (Φ(x′))′+γptp+∑j=1n−1μptpLogj2t+μtpLogn2tΦ(x)=0,Φ(x)=|x|p−1sgnx in the subcritical case when 01.
Z. Pátíková
semanticscholar +1 more source
Oscillatory criteria via linearization of half-linear second order delay differential equations
In the paper, we study oscillation of the half-linear second order delay differential equations of the form \[\left(r(t)(y'(t))^{\alpha}\right)'+p(t)y^{\alpha}(\tau(t))=0.\] We introduce new monotonic properties of its nonoscillatory solutions and use ...
B. Baculíková, J. Džurina
semanticscholar +1 more source
Residues and World-Sheet Instantons
We reconsider the question of which Calabi-Yau compactifications of the heterotic string are stable under world-sheet instanton corrections to the effective space-time superpotential. For instance, compactifications described by (0,2) linear sigma models
A. Basu +38 more
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Lyapunov functions for linear nonautonomous dynamical equations on time scales [PDF]
The existence of a Lyapunov function is established following a method of Yoshizawa for the uniform exponential asymptotic stability of the zero solution of a nonautonomous linear dynamical equation on a time scale with uniformly bounded ...
Kloeden, Peter E., Zmorzynska, Alexandra
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This paper employed the well-known Riccati transformation method to deduce a Kneser-type oscillation criterion for second-order dynamic equations. These results are considered an extension and improvement of the known Kneser results for second-order ...
Taher S. Hassan +4 more
doaj +1 more source
Half-linear Sturm-Liouville problem with weights
The authors consider the following half-linear equation of \(p\)-Laplacian type \[ (\rho(t) |u'(t)|^{p-2}u'(t))' + \lambda \sigma(t) |u(t)|^{p-2}u(t)=0, \quad t\in (a,b),\tag{1} \] subject to the Neumann-Dirichlet boundary conditions \[ \lim_{t\to a+} \rho(t)|u'(t)|^{p-2}u'(t)=\lim_{t\to b-} u(t)=0.\tag{2} \] Here, \(p>1\) is a real number, \(-\infty ...
Drábek, Pavel, Kuliev, Komil
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Oscillation of third-order half-linear neutral difference equations [PDF]
The authors give oscillation criteria for the nonlinear neutral difference equations of the third order, \[ \Delta \big ( a_n\,(\Delta ^2(x_n\pm b_nx_{n-\delta }))\big )^{\alpha }+q_n\,x_{n+1-\tau }^{\alpha }=0. \] These criteria present sufficient conditions for the oscillation of every (nontrivial) solution, or the limit of the solution as \(n\to ...
Thandapani, E., Selvarangam, S.
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